Details

Time bar (total: 5.0s)

sample19.0ms

Algorithm
intervals
Results
6.0ms59×body1280valid
3.0ms139×body80valid
2.0ms26×body640valid
1.0ms23×body320valid
0.0ms9×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.1b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.3b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
56×*-un-lft-identity
42×prod-diff
41×add-sqr-sqrt
33×add-cube-cbrt
9×distribute-lft-out
7×fma-neg
5×add-log-exp
4×difference-of-squares
3×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u distribute-lft-out--
2×cbrt-div pow1/3
1×sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
3 → 99
Calls
3 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
10.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series424.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(cbrt (+ x 1.0))
185.0ms
(cbrt x)
149.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify57.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04301315
113941045
25001981

prune254.0ms

Filtered
108 candidates to 69 candidates (63.9%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New9612108
Fresh000
Picked101
Done000
Total9712109

Merged error: 18.2b

Counts
109 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.3b
(- (cbrt (+ x 1.0)) (cbrt x))
9.9b
(log (- (cbrt (+ x 1.0)) (cbrt x)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
72×cbrt-prod
65×*-un-lft-identity
51×add-sqr-sqrt
42×prod-diff
35×add-cube-cbrt
10×log-prod distribute-lft-out
8×difference-of-squares
7×fma-neg
6×distribute-lft-out-- add-log-exp
5×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u
2×log-div cbrt-div flip3-- pow1/3 flip--
1×sub-neg flip3-+ diff-log rem-log-exp log-pow flip-+
Counts
4 → 122
Calls
4 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
10.0ms
(- (cbrt (+ x 1.0)) (cbrt x))
11.0ms
(log (- (cbrt (+ x 1.0)) (cbrt x)))

series611.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(cbrt (+ x 1.0))
174.0ms
(cbrt x)
150.0ms
(- (cbrt (+ x 1.0)) (cbrt x))
199.0ms
(log (- (cbrt (+ x 1.0)) (cbrt x)))

simplify72.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06191676
121751385
250021322

prune385.0ms

Filtered
134 candidates to 88 candidates (65.7%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1286134
Fresh5611
Picked011
Done000
Total13313146

Merged error: 10.8b

Counts
146 → 13

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
28.4b
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x))))))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x))))))

series970.0ms

Counts
4 → 12
Calls
4 calls:
363.0ms
(cbrt x)
176.0ms
(cbrt x)
175.0ms
(cbrt x)
255.0ms
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x))))))

simplify67.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
0222438
1613389
22262375
35001372

prune344.0ms

Filtered
61 candidates to 55 candidates (90.2%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New56561
Fresh2911
Picked101
Done011
Total591574

Merged error: 10.8b

Counts
74 → 15

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.3b
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
0.6b
(cbrt x)
28.1b
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-div
8×cbrt-prod *-un-lft-identity
7×flip3-+ flip-+
6×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
2×associate-*r/ associate-*l/
1×fma-udef distribute-lft-out
Counts
4 → 58
Calls
4 calls:
3.0ms
(cbrt (+ x 1.0))
8.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
1.0ms
(cbrt x)
1.0ms
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

series609.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(cbrt (+ x 1.0))
103.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
175.0ms
(cbrt x)
245.0ms
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

simplify127.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (119.0ms)

IterNodesCost
0446668
11309615
24610590
35001587

prune262.0ms

Filtered
70 candidates to 62 candidates (88.6%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New66470
Fresh21113
Picked101
Done101
Total701585

Merged error: 10.8b

Counts
85 → 15

regimes93.0ms

Accuracy

98.3% (0.3b remaining)

Error of 12.4b against oracle of 12.1b and baseline of 30.2b

bsearch90.0ms

Steps
ItersRangePoint
9
0.09117784756913819
2697524.489058797
3103.3891723919032
8
-4.7170329246979447e+61
-3.6046192339311515e+58
-4.455930272966536e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06644
16644

end0.0ms

sample523.0ms

Algorithm
intervals
Results
181.0ms1749×body1280valid
99.0ms1253×body640valid
97.0ms4072×body80valid
34.0ms586×body320valid
13.0ms340×body160valid